Electronic Journal of Differential Equations,
Vol. 2005(2005), No. 07, pp. 1-11.

Title: Semilinear elliptic boundary-value problems
       on bounded multiconnected domains

Authors: Wenjie Gao  (Jilin Univ., Changchun, China)
         Junyu Wang  (Jilin Univ., Changchun, China)
	 Zhongxin Zhang (Jilin Univ., Changchun, China)

Abstract: 
 A semilinear elliptic boundary-value problem on bounded 
 multiconnected domains is studied. The authors prove that 
 under suitable conditions, the problem may have no 
 solutions in certain cases and many have one  or two 
 nonnegative solutions in some other cases.  The radial 
 solutions were also studied in annular domains.

Submitted May 6, 2004. Published January 5, 2005.
Math Subject Classifications: 34B15.
Key Words: Semilnear elliptic boundary-value problem;
    nonnegative solution; radial solution; nonexistence; 
    existence; multiplicity.